1887314204160 has 2880 divisors, whose sum is σ = 8945364460032. Its totient is φ = 370262016000.

The previous prime is 1887314204159. The next prime is 1887314204207. The reversal of 1887314204160 is 614024137881.

1887314204160 is a `hidden beast` number, since 18 + 87 + 3 + 142 + 0 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1887314204160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46032053740 + ... + 46032053780.

Almost surely, 2^{1887314204160} is an apocalyptic number.

1887314204160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1887314204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472682230016).

1887314204160 is an abundant number, since it is smaller than the sum of its proper divisors (7058050255872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1887314204160 is an equidigital number, since it uses as much as digits as its factorization.

1887314204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1887314204160 in words is "one trillion, eight hundred eighty-seven billion, three hundred fourteen million, two hundred four thousand, one hundred sixty".